Search a number
-
+
334111042414001 = 2914674978508681
BaseRepresentation
bin100101111110111110100100…
…1111111111010010110110001
31121210222201000000020010211102
41023331331021333322112301
5322243033403324222001
63142332254405454145
7130242504045134636
oct11375751177722661
91553881000203742
10334111042414001
1197504774205326
1231580b60111355
13114576c7aa70b8
145c710bc93418d
152895edce98e6b
hex12fdf49ffa5b1

334111042414001 has 8 divisors (see below), whose sum is σ = 345634472505000. Its totient is φ = 322587769633920.

The previous prime is 334111042413991. The next prime is 334111042414003. The reversal of 334111042414001 is 100414240111433.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 145103093776 + 333965939320225 = 380924^2 + 18274735^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 334111042414001 - 226 = 334110975305137 is a prime.

It is a super-2 number, since 2×3341110424140012 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334111042414003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34998620 + ... + 43510061.

It is an arithmetic number, because the mean of its divisors is an integer number (43204309063125).

Almost surely, 2334111042414001 is an apocalyptic number.

It is an amenable number.

334111042414001 is a deficient number, since it is larger than the sum of its proper divisors (11523430090999).

334111042414001 is a wasteful number, since it uses less digits than its factorization.

334111042414001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78655459.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 334111042414001 its reverse (100414240111433), we get a palindrome (434525282525434).

The spelling of 334111042414001 in words is "three hundred thirty-four trillion, one hundred eleven billion, forty-two million, four hundred fourteen thousand, one".

Divisors: 1 29 146749 4255721 78508681 2276751749 11521070428069 334111042414001